Stirling are through to the second round of the Petrofac Training Cup after a 3-0 victory over Elgin at Borough Briggs.Darren Smith opened the scoring early in the second half with a rising right-footed shot before Gordon Smith netted the first of his two goals from the penalty spot just before the hour-mark following Matthew Cooper's red card for the hosts.Gordon Smith sealed the League Two side's fate with 12 minutes remaining when he converted a Steven Doris cross.It might have been different for Elgin had Shane Sutherland's 16th-minute shot gone beneath the crossbar rather than striking the woodwork.